λ
Matchaa Zalai

529,825

52 × 21193
Deficient Odd Composite

529,825 factors as 5^2 × 21193. Its 6 positive divisors give a proper-divisor sum of 127,189, so this integer is deficient. The Collatz stopping time is 102 steps.

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Prime Factor Structure

Factorization String 5^2 × 21193
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 657,014
Proper Divisor Sum 127,189
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #529819 ← → #529829

Radix Representation

Decimal 529825
Binary 10000001010110100001 (20 bits)
Octal 0o2012641
Hexadecimal 0x815A1

Divisor Catalog (5 of 6)

1 5 25 21,193 105,965

Collatz Trajectory (102 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

529,825 1,589,476 794,738 397,369 1,192,108

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